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Finding the Fourth Proportional to 3,679.38, 5,513.69 and 1,705.61

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Solution

The fourth proportional to 3,679.38, 5,513.69 and 1,705.61 is: 2,555.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.38 : 5,513.69 = 1,705.61 : x
  2. Step 2: Convert to fraction form
    3,679.38/5,513.69 = 1,705.61/x
  3. Step 3: Cross multiply
    3,679.38x = 5,513.69 × 1,705.61
  4. Step 4: Simplify right side
    3,679.38x = 9,404,222.85
  5. Step 5: Solve for x
    x = 9,404,222.85/3,679.38
  6. Step 6: Final answer
    x = 2,555.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.